Question

The sum of a number and 45 times its reciprocal is 14. Find the number or numbers.

Answer 1

Answer: 9 & 5

Step-by-step explanation:

Let the number be x.

A/q,

$x+\frac{45}{x}=14=> x^{2}-14x+45=0$

Solving,

$x^{2} -9x-5x+45=0=>(x-9)(x-5)=0$

Thus, x=9 or 5.

The numbers are 9 or 5.